answer the question about the following polynomial

Answer: B. (6,4)

Find x for the 2nd equation

3x + 6y = 42

3x = 42-6y

x= (42-6y) / 3

Place the value of x in the first equation and find for y then.

4x - 3y= 12

4{(42-6y)/3} - 3y = 12

So the answer for y is 4

Now, you know the value of y is 4.

4x - 3*4 = 12

4x - 12 = 12

x= 12+12 /4

x= 6

So x is 6 and y is 4. So the answer is B.

Answer:

(240 × 60)/100 = 144

Step-by-step explanation:

(Whole × Percent)/100 = Part

Answer:

25%

Step-by-step explanation:

60 times 4 is equal to 240.

1/4 is 25%

60 is 25% of 240

Answer:

  √26 ≈ 5.10 units

Step-by-step explanation:

The midpoint to which the median is drawn is ...

  M = (B +C)/2

  M = ((-3, 3) +(5,1))/2 = (-3+5, 3+1)/2 = (2, 4)/2 = (1, 2)

The distance between the first vertex and this point is given by the distance formula.

  d = √((x2 -x1)^2 +(y2 -y1)^2)

  d = √((2 -1)^2 +(7 -2)^2) = √(1^2 +5^2) = √26 ≈ 5.0990 ≈ 5.10

The length of the median is √26 units.

Answer:

9/1

Step-by-step explanation:

For every 9 women, there is 1 man

Answer:

x-y=12 or x=12+y??????

Step-by-step explanation:

6x+y=30

-2x-5y=18

Add the equations up: 4x-4y=48

Divide by 4

x-4y=12

Divide by 4 again

x-y=12

+y on both sides

x=12+y

(I might be wrong)

Answer:

[tex]x=6; y=-6[/tex]

Step-by-step explanation:

Unless you're required to use any particular method, let's add the first to twice the second to eliminate x:

[tex]6x+y-6x-15y=30+54 \rightarrow -14y=54 \rightarrow y=-6[/tex]

At this point let's plug this value of y in the first equation and find x:

[tex]6x+(-6)=30 \rightarrow x-1=5 \rightarrow x=6[/tex]

Answer:

It is the second one 20^247

Step-by-step explanation:

Step-by-step explanation:

4+5/6*3/10

29/6*3/10

=87/60

=29/20

=1 9/20

We have :   [tex]4\frac{5}{6}[/tex] × [tex]\frac{3}{10}[/tex] = [tex]\frac{29}{6}[/tex] × [tex]\frac{3}{10}[/tex] = [tex]\frac{29}{20}[/tex] = [tex]1\frac{9}{20}[/tex]

ANSWER:   [tex]1\frac{9}{20}[/tex]

Ok done. Thank to me :>

Answer:

A

Step-by-step explanation:

Consider all options and find f(3):

A.

Then

Not -5, so this option is false.

B.

Then

This option is true.

C.

Then

Not -5, so this option is false.

D.

Then

Not -5, so this option is false.

Answer:

Step-by-step explanation:

From the markings p and q are opposite equal sides. That means that p = q

Since = 24 then q must also be 24

r is an exterior angle. It is equal to the two remote interior angles which in this case are p and q

r = p + q   But p and q are both  equal

r = 24 + 24

r = 48

From the markings r and s are opposite equal sides. That means that r and s are equal.

s = r

s = 48

t is another exterior angle. It is = to the sum of the two interior angles

so t = r + S

t = 48 + 48

t = 96

10%

since he works 40 hours per week and gets $16 an hour, that would be 16 * 40 which is 640, so that means he needs a commission rate of 10% as 10% of 6400 is 640.

hope this is helpful!

The area of a triangle is the amount of space on the triangle

The expression that represents the area of the triangle is [tex]A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|[/tex]

The coordinates of the triangle are given as:

[tex]R = (-5,6)[/tex]

[tex]S = (3,4)[/tex]

[tex]T = (-2,2)[/tex]

The area (A) of a triangle from its coordinates or vertices are:

[tex]A = \frac 12|x_1(y_3 -y_2) +x_2(y_3 -y_1) + x_3(y_2 -y_1)|[/tex]

Substitute values for x's and y's

[tex]A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|[/tex]

Hence, the expression that represents the area of the triangle is [tex]A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|[/tex]

Read more about areas of triangles at:

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The solution to the systems of equations is (7, 3)

Given the systems of equations expressed as:

-x + 4y = 5 ....................1

x - 5y = -2 ...................... 2

Add both equations to have:

-x+x + 4y - 5y = 5 - 2

4y-5y = -3

-y = -3

y = 3

Substitute y = 3 into equation 1:

-x + 4(3) = 5

-x + 12 = 5

-x = 5 - 12

-x = -7

x = 7

Hence the solution to the systems of equations is (7, 3)

Learn more on simultaneous equations here: https://brainly.com/question/148035

The inequality that best describes the possible values of x is; Choice A: 2 < x < 10

In a polygon such as that given in the question;

Two scenarios may occur regarding angle; (3x -6)

They are as follows:

This is so because angle 3x - 6 must be between 0° and 24° since 36 > 34

By evaluation;

x < 10

Also,

x > 2.

Therefore, the inequality that best describes the possible values of x is; Choice A: 2 < x < 10

Read more on inequalities:

https://brainly.com/question/22137960

The inequality that describes the possible values of x is 2 < x < 10.

The given parameters:

From the given polygon, the angle facing the shorter length (34) will have the following possible values;

The range of of values of x is calculated as follows;

3x - 6 < 24

3x < 24 + 6

3x < 30

[tex]x < \frac{30}{3} \\\\x< 10[/tex]

or

3x - 6 > 0

3x > 6

[tex]x >\frac{6}{3} \\\\x >2[/tex]

Thus, the inequality that describes the possible values of x is 2 < x < 10.

Learn more about inequality here: https://brainly.com/question/14361489

Answer:

-5

Step-by-step explanation:

4x -2 = 8 + 6x

-2x = 10

x = -5

Answer:

John

Step-by-step explanation:

600 x 0.60 = 360 pounds

360 /0.72 = 500

He got $500

Answer:

It would take him eight hours, but only if at the end of your sentence you meant miles.

Step-by-step explanation:

8miles_____ 30mn

30miles ____________________ *hrs

8 div by 30, .266667 miles per min

mult by 30

Answer:

19.5  = CD

Step-by-step explanation:

The square of the tangent = the the whole secant times the outside part of the secant.

EG²= (ED)(EC)

13² = (26)(EC)

169 = 26EC

169/26 = EC

 6.5 + EC

Now  ED = EC + CD

         26 = 6.5 + CD

        26 - 6.5 = CD

           19.5  = CD

Answer: x = 43, ABC = 180 degrees, DBC = 48 Degrees

Step-by-step explanation:

(3(x+1))+(x+5)=180 degrees

4x+8=180

4x=172

x=43

using these we plug in.

ABC = is 3(44) + (48) = 180

DBC = 43+5 = 48

The linear equations [tex]c_{2}+c_{1}+c_{o} = 3[/tex], [tex]4\cdot c_{2} + 2\cdot c_{1}+ c_{o} = 1[/tex] and [tex]4\cdot c_{2} - 2\cdot c_{1} + c_{o} = -15[/tex] can be written given the points [tex](x_{1}, y_{1}) = (1, 3)[/tex], [tex](x_{2}, y_{2}) = (2, 1)[/tex] and [tex](x_{3}, y_{3}) = (-2, -15)[/tex].

A quadratic function ([tex]p(x)[/tex]) is a second order polynomial of the form:

[tex]p(x) = \Sigma\limits_{i= 0}^{2} c_{i}\cdot x^{i} = c_{2}\cdot x^{2}+c_{1}\cdot x + c_{o}[/tex] (1)

Where:

To determine the value of all coefficients, we need three distinct points on plane and create a resulting system of linear equations.

If we know that [tex](x_{1}, y_{1}) = (1, 3)[/tex], [tex](x_{2}, y_{2}) = (2, 1)[/tex] and [tex](x_{3}, y_{3}) = (-2, -15)[/tex], then the system of linear equations is:

[tex]c_{2}+c_{1}+c_{o} = 3[/tex] (2)

[tex]4\cdot c_{2} + 2\cdot c_{1}+ c_{o} = 1[/tex] (3)

[tex]4\cdot c_{2} - 2\cdot c_{1} + c_{o} = -15[/tex] (4)

The linear equations [tex]c_{2}+c_{1}+c_{o} = 3[/tex], [tex]4\cdot c_{2} + 2\cdot c_{1}+ c_{o} = 1[/tex] and [tex]4\cdot c_{2} - 2\cdot c_{1} + c_{o} = -15[/tex] can be written given the points [tex](x_{1}, y_{1}) = (1, 3)[/tex], [tex](x_{2}, y_{2}) = (2, 1)[/tex] and [tex](x_{3}, y_{3}) = (-2, -15)[/tex].

To learn more on systems of linear equations, we kindly invite to check this verified question: https://brainly.com/question/20379472

1/2-(-1/3+2/5)

= 1/2-(-0.33333333333333+2/5)

= 1/2-(-0.33333333333333+0.4)

= 1/2-(0.066666666666667)

= 1/2-0.066666666666667

= 0.5-0.066666666666667

= 0.43333333333333

Answer: 13/30 or 0.4333333333

Step-by-step explanation:

Just add and subtract them.

Correct me if I am incorrect.

Answer: good for him... how much did he spend on it?

According to the calculation, 24 books can fit on the shelf.

Given that a set of books that are each 1.5 inches wide are being organized on a bookshelf that is 36 inches wide, to determine how many books can fit on the shelf the following division must be performed:

Therefore, 24 books can fit on the shelf.

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